A second grade class sells 185 raffle tickets and wants to reach a total of 300.

Question

A third grade class sells 265 and wants to reach a goal of 350.
Which class has fewer tickets left to sell to reach its goal?
Conjecture: The third grade class has to sell fewer tickets to reach its goal.

Kelli uses the number lines below to justify the conjecture. Which statement is true?

Two number lines. The first number line shows one hundred seventy-five, two hundred, two hundred twenty-five, two hundred fifty, two hundred seventy-five, and three hundred. The number one hundred eighty-five is graphed between one hundred seventy-five and two hundred. The second number line shows two hundred twenty-five, two hundred fifty, two hundred seventy-five, three hundred, three hundred twenty-five, and three hundred fifty. The number two hundred sixty-five is graphed between two hundred fifty and two hundred seventy-five.

(1 point)
Responses

The number lines show that the distance from 185 to 300 is the same as the distance from 265 to 350.

The number lines show that the distance from 185 to 300 is the same as the distance from 265 to 350.

The number lines show that the distance from 185 to 300 is greater than the distance from 265 to 350.

The number lines show that the distance from 185 to 300 is greater than the distance from 265 to 350.

The number lines show that the distance from 185 to 300 is less than the distance from 265 to 350.

The number lines show that the distance from 185 to 300 is less than the distance from 265 to 350.

The number lines do not support the conjecture.

The number lines do not support the conjecture.
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Answer 1

To determine how many raffle tickets each class has left to sell, we can calculate the difference between their current ticket sales and their goals.

For the second grade class:

• Current tickets sold: 185
• Goal: 300
• Tickets left to sell: 300 - 185 = 115

For the third grade class:

• Current tickets sold: 265
• Goal: 350
• Tickets left to sell: 350 - 265 = 85

Now we compare the tickets left to sell:

• Second grade class has 115 tickets left to sell.
• Third grade class has 85 tickets left to sell.

Thus, the third grade class has fewer tickets left to sell to reach its goal.

Next, let's examine the conjecture and the statements based on the number lines.

The correct conclusion based on the calculations is: "The number lines show that the distance from 185 to 300 is greater than the distance from 265 to 350."

Therefore, the statement that is true is: "The number lines show that the distance from 185 to 300 is greater than the distance from 265 to 350."